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In St. Louis, I think there are a few ways to answer this question.
If you were in town on business and wanted to get a round in after work, I would recommend Jefferson Barracks. It is only about 20 minutes away from downtown or 30 minutes away from most business areas in the STL county. There are always some friendly locals that are more than willing to show you around the course. The course isn't terribly long (7,100 in its maxed out settings - which it hardly ever is) and is loaded with a variety of shots. There is a reason why it is the most played course in the area...fun, fun, fun!
If you were in town for the weekend and wanted to maybe fit in a little roadtrip, I would head out to Centralia, IL. It is maybe an hour drive (maybe 45 min) from Busch Stadium downtown. It is an epic course designed by Dave McCormack. It is the direction that championship disc golf has been headed more and more in the last few years. It has legitimate par 4s and 5s that make this course play as a par 72. You will go away feeling that you have just played something special. They also have a really nice recreational 9 holer that you might as well play too. On your way back to the Lou, you could even hit up Woodland Park in Collinsville, IL to fill out the day.
If you were looking for a fun golf/after-golf-activity scenario, I would head up to Rock Springs Park in Alton, IL. It is about 30 or so minutes from downtown. The course itself is a ton of fun, with plenty of variety and treacherous greens. But the after golf actvity is where this day becomes memorable! Everyone (and I mean EVERYONE) hits up Fast Eddies Bon Air at the bottom of the hill after their round (as long as you are 21). Live music, cheap killer grub, the coldest beers anywhere and plenty of people watching. It's an area institution that shouldn't be missed!
Honestly, if anyone is going to be in STL for a weekend of golf, you will not go away disappointed...just try to avoid the extreme cold/heat!
Recreation park in Bryan Ohio is the only course worth playing in my area
In Los Angeles and Orange County:
1) Oak Grove for history (1st permanent course in the world)
2) Huntington Beach (2nd permanent course in the World) debatable
3) La Mirada (Too many Championships have been played here to mention, come find out why) My home course. "La Mirada Disc Golf, Where Champions are made"